Exponentiation: Time Complexity

Related lectures (25)

Page 2 of 3

Delves into the complexity of factoring polynomials and the implications for security.

Covers algorithms for big numbers, Z_n, and orders in a group, explaining arithmetic operations and cryptographic concepts.

Covers prime numbers, RSA cryptography, and primality testing, including the Chinese Remainder Theorem and the Miller-Rabin test.

Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.

Explores algorithmic challenges, time complexity, optimization, recursion, and probability calculations.

Covers worst-case complexity, algorithms, and proofs including mathematical induction and recursion.

Explores dynamic programming for efficient problem-solving, illustrated with binomial coefficients and Pascal's triangle.

Explores models of card shuffling, state spaces, and time complexity.

Explores the Shor algorithm circuit details for efficient number factoring using quantum computing.

Explores algorithmic complexity, comparing growth rates using Theta notation and characterizing different complexity classes.